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Finding the Fourth Proportional to 491.50, 679.35 and 441.82

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Solution

The fourth proportional to 491.50, 679.35 and 441.82 is: 610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 679.35 = 441.82 : x
  2. Step 2: Convert to fraction form
    491.50/679.35 = 441.82/x
  3. Step 3: Cross multiply
    491.50x = 679.35 × 441.82
  4. Step 4: Simplify right side
    491.50x = 300,150.42
  5. Step 5: Solve for x
    x = 300,150.42/491.50
  6. Step 6: Final answer
    x = 610.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.